Astronomy and Astrophysics – Astrophysics
Scientific paper
1993-10-20
Astronomy and Astrophysics
Astrophysics
paper for the 9th IAP Meeting, Paris, July 1993: "Cosmic Velocity Fields". 6 pages of uuencoded compressed postscript; figures
Scientific paper
Nonlinear approximations to problems with mixed boundary conditions are useful for predicting large-scale streaming velocities from the density field, or vice-versa. We evaluate the schemes of Bernardeau \cite{bernardeau92}, Gramann \cite{gramann93}, and Nusser \etal \cite{nusser91}, using smoothed density and velocity fields obtained from $N$-body simulations of a CDM universe. The approximation of Nusser \etal is overall the most accurate and robust. For Gaussian smoothing of 1000\kms\ the mean error in the approximated relative density perturbation, $\delta$, is smaller than 0.06, and the dispersion is 0.1. The \rms\ error in the estimated velocity is smaller than 60\kms, and the dispersion is 40\kms. For smoothing of 500\kms\ these numbers increase by about a factor $\sim 2$ for $\delta < 4-5$, but deteriorate at higher densities. The other approximations are comparable to those of Nusser \etal for smoothing of 1000\kms, but are much less successful for the smaller smoothing of 500\kms.
Dekel Avishai
Ganon Galit
Mancinelli Paul J.
Yahil Amos
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